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Calculus Illustrated Volume 5
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Book Synopsis Calculus Illustrated. Volume 1: Precalculus by : Peter Saveliev
Download or read book Calculus Illustrated. Volume 1: Precalculus written by Peter Saveliev and published by . This book was released on 2019-07-09 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is a science; it studies the inner workings of the Universe.This is the first volume of the series Calculus Illustrated, a textbook for undergraduate students. Only the topics necessary for calculus are included. The book's website hosts the drafts of volumes 2-5.
Book Synopsis Calculus Illustrated. Volume 1: Precalculus by : Peter Saveliev
Download or read book Calculus Illustrated. Volume 1: Precalculus written by Peter Saveliev and published by Peter Saveliev. This book was released on 2020-05-19 with total page 593 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical thinking is visual. The exposition in this book is driven by its illustrations; there are over 600 of them. Calculus is hard. Many students are too late to discover that they could have used a serious precalculus course. The book is intended for self-study and includes only the topics that are absolutely unavoidable. This is the first volume of the series Calculus Illustrated.
Book Synopsis Linear Algebra Illustrated by : Peter Saveliev
Download or read book Linear Algebra Illustrated written by Peter Saveliev and published by Peter Saveliev. This book was released on with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary linear algebra in light of advanced This is one-semester textbook on elementary linear algebra. However, in light of a more advanced point of view, algebraic manipulations are reduced to a minimum. All prerequisites are included. The exception is the last chapter that shows how linear algebra reveals hidden structures in basic calculus. Appropriate for computing majors. Contents Chapter 1: Sets and functions Chapter 2: Functions as transformations Chapter 3: The 2-dimensional space Chapter 4: Multidimensional spaces Chapter 5: Linear operators Chapter 6: A bird's-eye view of basic calculus
Book Synopsis Introduction to Calculus and Analysis II/1 by : Richard Courant
Download or read book Introduction to Calculus and Analysis II/1 written by Richard Courant and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 585 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students." --Acta Scientiarum Mathematicarum, 1991
Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis
Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Book Synopsis Vector Calculus by : P. R. Baxandall
Download or read book Vector Calculus written by P. R. Baxandall and published by . This book was released on 2008 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.
Book Synopsis Calculus Illustrated by : Lee T. Hill
Download or read book Calculus Illustrated written by Lee T. Hill and published by PWS Publishing Company. This book was released on 1986-01-01 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Wave Mechanics by : Wolfgang (Physiker) Pauli
Download or read book Wave Mechanics written by Wolfgang (Physiker) Pauli and published by Courier Corporation. This book was released on 2000-09-18 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on wave functions of force-free particles, description of a particle in a box and in free space, particle in a field of force, multiple particles, eigenvalue problems, more.
Book Synopsis Pre-Calculus, Calculus, and Beyond by : Hung-Hsi Wu
Download or read book Pre-Calculus, Calculus, and Beyond written by Hung-Hsi Wu and published by American Mathematical Soc.. This book was released on 2020-10-26 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.
Book Synopsis The Math Book by : Clifford A. Pickover
Download or read book The Math Book written by Clifford A. Pickover and published by Union Square + ORM. This book was released on 2011-09-27 with total page 937 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.
Book Synopsis Topology Illustrated by : Peter Saveliev
Download or read book Topology Illustrated written by Peter Saveliev and published by . This book was released on 2016-02-02 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows a two-semester first course in topology with emphasis on algebraic topology. Some of the applications are: the shape of the universe, configuration spaces, digital image analysis, data analysis, social choice, exchange economy. An overview of discrete calculus is also included. The book contains over 1000 color illustrations and over 1000 exercises.
Book Synopsis Mathematics for Machine Learning by : Marc Peter Deisenroth
Download or read book Mathematics for Machine Learning written by Marc Peter Deisenroth and published by Cambridge University Press. This book was released on 2020-04-23 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fundamental mathematical tools needed to understand machine learning include linear algebra, analytic geometry, matrix decompositions, vector calculus, optimization, probability and statistics. These topics are traditionally taught in disparate courses, making it hard for data science or computer science students, or professionals, to efficiently learn the mathematics. This self-contained textbook bridges the gap between mathematical and machine learning texts, introducing the mathematical concepts with a minimum of prerequisites. It uses these concepts to derive four central machine learning methods: linear regression, principal component analysis, Gaussian mixture models and support vector machines. For students and others with a mathematical background, these derivations provide a starting point to machine learning texts. For those learning the mathematics for the first time, the methods help build intuition and practical experience with applying mathematical concepts. Every chapter includes worked examples and exercises to test understanding. Programming tutorials are offered on the book's web site.
Book Synopsis Brownian Motion and Stochastic Calculus by : Ioannis Karatzas
Download or read book Brownian Motion and Stochastic Calculus written by Ioannis Karatzas and published by Springer. This book was released on 2014-03-27 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed, illustrated by results concerning representations of martingales and change of measure on Wiener space, which in turn permit a presentation of recent advances in financial economics. The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The whole is backed by a large number of problems and exercises.
Book Synopsis Calculus Illustrated by TDQ by : Jun Tao, 1st
Download or read book Calculus Illustrated by TDQ written by Jun Tao, 1st and published by . This book was released on 2011-06-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Tao's differential quadrilateral (TDQ) can make most of the concepts of calculus imaginable. The more imaginable calculus is, the more understandable it will be. TDQ can really help you figure out the principles of calculus.
Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.
Book Synopsis Calculus of One Variable by : Joseph W. Kitchen
Download or read book Calculus of One Variable written by Joseph W. Kitchen and published by Courier Dover Publications. This book was released on 2020-01-15 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt: Richly textured and versatile text characterizes real numbers as a complete, ordered field. Rigorous development of the calculus, plus thorough treatment of basic topics of limits and inequalities. 1968 edition.
Download or read book Global Calculus written by S. Ramanan and published by American Mathematical Soc.. This book was released on 2005 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis.
